def create_cg1_function_space(mesh, sh):
r = len(sh)
if r == 0:
V = function.FunctionSpace(mesh, ("CG", 1))
elif r == 1:
V = function.VectorFunctionSpace(mesh, ("CG", 1), dim=sh[0])
else:
V = function.TensorFunctionSpace(mesh, ("CG", 1), shape=sh)
return V
def _extract_function_space(expression, mesh):
"""Try to extract a suitable function space for projection of given
expression.
"""
# Get mesh from expression
if mesh is None:
domain = expression.ufl_domain()
if domain is not None:
mesh = domain.ufl_cargo()
# Extract mesh from functions
if mesh is None:
# (Not sure if this code is relevant anymore, the above code
# should cover this)
# Extract functions
functions = ufl.algorithms.extract_coefficients(expression)
for f in functions:
if isinstance(f, function.Function):
mesh = f.function_space().mesh
if mesh is not None:
break
if mesh is None:
raise RuntimeError(
"Unable to project expression, cannot find a suitable mesh.")
# Create function space
shape = expression.ufl_shape
if shape == ():
V = function.FunctionSpace(mesh, ("Lagrange", 1))
elif len(shape) == 1:
V = function.VectorFunctionSpace(mesh, ("Lagrange", 1), dim=shape[0])
elif len(shape) == 2:
V = function.TensorFunctionSpace(mesh, ("Lagrange", 1), shape=shape)
else:
raise RuntimeError("Unhandled rank, shape is {}.".format((shape, )))
return V